HEALPix Mapping Technique and Cartographical Application Omur Esen1, Vahit Tongur2, Ismail Bulent Gundogdu3 1Selcuk University, Construction Offices and Infrastructure Presidency,
[email protected] 2Necmettin Erbakan University, Computer Engineering Department of Engineering and Architecture Faculty,
[email protected] 3Selcuk University, Geomatics Engineering Department of Engineering Faculty,
[email protected] Abstract Hierarchical Equal Area isoLatitude Pixelization (HEALPix) system is defined as a layer which is used in modern astronomy for using pixelised data, which are required by developed detectors, for a fast true and proper scientific comment of calculation algoritms on spherical maps. HEALPix system is developed by experiments which are generally used in astronomy and called as Cosmic Microwave Background (CMB). HEALPix system reminds fragment of a sphere into 12 equal equilateral diamonds. In this study aims to make a litetature study for mapping of the world by mathematical equations of HEALPix celling/tesellation system in cartographical map making method and calculating and examining deformation values by Gauss Fundamental Equations. So, although HEALPix system is known as equal area until now, it is shown that this celling system do not provide equal area cartographically. Keywords: Cartography, Equal Area, HEALPix, Mapping 1. INTRODUCTION Map projection, which is classically defined as portraying of world on a plane, is effected by technological developments. Considering latest technological developments, we can offer definition of map projection as “3d and time varying space, it is the transforming techniques of space’s, earth’s and all or part of other objects photos in a described coordinate system by keeping positions proper and specific features on a plane by using mathematical relation.” Considering today’s technological developments, cartographical projections are developing on multi surfaces (polihedron) and Myriahedral projections which is used by Wijk (2008) for the first time.